{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:TBKGVDMN2CZGLMKVQ65ODQYMLW","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"d11cf8368ee4da94752c14eacae0d7148f1ba6bb19624872fbf6c5623ac48833","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-01-15T12:40:01Z","title_canon_sha256":"5d3c79a68ffc02452b93a76d916575092199de34fef31c0145656eec98056067"},"schema_version":"1.0","source":{"id":"1701.04033","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.04033","created_at":"2026-05-18T00:06:06Z"},{"alias_kind":"arxiv_version","alias_value":"1701.04033v2","created_at":"2026-05-18T00:06:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.04033","created_at":"2026-05-18T00:06:06Z"},{"alias_kind":"pith_short_12","alias_value":"TBKGVDMN2CZG","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"TBKGVDMN2CZGLMKV","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"TBKGVDMN","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:1289d08200583175d21b8e2474a6dd6eabf9a1be212b6b1e526822b59947a8d4","target":"graph","created_at":"2026-05-18T00:06:06Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The $2$-adic ring $C^*$-algebra $\\mathcal{Q}_2$ naturally contains a copy of the Cuntz algebra $\\mathcal{O}_2$ and, a fortiori, also of its diagonal subalgebra $\\mathcal{D}_2$ with Cantor spectrum. This paper is aimed at studying the group ${\\rm Aut}_{\\mathcal{D}_2}(\\mathcal{Q}_2)$ of the automorphisms of $\\mathcal{Q}_2$ fixing $\\mathcal{D}_2$ pointwise. It turns out that any such automorphism leaves $\\mathcal{O}_2$ globally invariant. Furthermore, the subgroup ${\\rm Aut}_{\\mathcal{D}_2}(\\mathcal{Q}_2)$ is shown to be maximal abelian in ${\\rm Aut}(\\mathcal{Q}_2)$. Saying exactly what the group","authors_text":"Roberto Conti, Stefano Rossi, Valeriano Aiello","cross_cats":["math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-01-15T12:40:01Z","title":"Diagonal automorphisms of the $2$-adic ring $C^*$-algebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.04033","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:babe6437284bcb4e66462d26e46f86ce75c5c01df8443dd2f10f33509b457744","target":"record","created_at":"2026-05-18T00:06:06Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"d11cf8368ee4da94752c14eacae0d7148f1ba6bb19624872fbf6c5623ac48833","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-01-15T12:40:01Z","title_canon_sha256":"5d3c79a68ffc02452b93a76d916575092199de34fef31c0145656eec98056067"},"schema_version":"1.0","source":{"id":"1701.04033","kind":"arxiv","version":2}},"canonical_sha256":"98546a8d8dd0b265b15587bae1c30c5d874270cfc59de49bb05dbdedc458a78e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"98546a8d8dd0b265b15587bae1c30c5d874270cfc59de49bb05dbdedc458a78e","first_computed_at":"2026-05-18T00:06:06.395749Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:06:06.395749Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mcYNEW05/ffuItNjqb52ozdYg/hkKpMOk7CnNKGeDmfKYWwNc5qoq7fwE1nwhVf2hqVe0+OheTaBGOXPN/kECA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:06:06.396442Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.04033","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:babe6437284bcb4e66462d26e46f86ce75c5c01df8443dd2f10f33509b457744","sha256:1289d08200583175d21b8e2474a6dd6eabf9a1be212b6b1e526822b59947a8d4"],"state_sha256":"05ba5deb465d748af300add2d8ae099087bb406b607224a14ff78073a2d62c74"}